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In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

Information Retrieval · Computer Science 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn

In this paper, we investigate the robustness of an LSTM neural network against noise injection attacks for electric load forecasting in an ideal microgrid. The performance of the LSTM model is investigated under a black-box Gaussian noise…

Machine Learning · Computer Science 2023-04-27 Amirhossein Nazeri , Pierluigi Pisu

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang

We first establish a law of large numbers and a convergence theorem in distribution to show the rate of convergence of the non-local means filter for removing Gaussian noise. We then introduce the notion of degree of similarity to measure…

Computer Vision and Pattern Recognition · Computer Science 2014-03-12 Haijuan Hu , Bing Li , Quansheng Liu

In high sample-rate applications of the least-mean-square (LMS) adaptive filtering algorithm, pipelining or/and block processing is required. As opposed to earlier work, pipelining and block processing are jointly considered to obtain what…

Signal Processing · Electrical Eng. & Systems 2023-06-22 Mohd. Tasleem Khan , Oscar Gustafsson

We investigate the potential of adaptive equalization techniques to mitigate inter-channel nonlinear interference noise (NLIN). We derive a lower bound on the mutual information of a system using adaptive equalization, showing that the…

Signal Processing · Electrical Eng. & Systems 2017-10-03 Ori Golani , Meir Feder , Mark Shtaif

Multi-task learning (MTL) considers learning a joint model for multiple tasks by optimizing a convex combination of all task losses. To solve the optimization problem, existing methods use an adaptive weight updating scheme, where task…

Machine Learning · Computer Science 2024-07-22 Yifei He , Shiji Zhou , Guojun Zhang , Hyokun Yun , Yi Xu , Belinda Zeng , Trishul Chilimbi , Han Zhao

We propose a data-driven algorithm for the maximum a posteriori (MAP) estimation of stochastic processes from noisy observations. The primary statistical properties of the sought signal is specified by the penalty function (i.e., negative…

Machine Learning · Computer Science 2018-02-14 Ha Q. Nguyen , Emrah Bostan , Michael Unser

In this paper, we introduce a novel regularization method called Adversarial Noise Layer (ANL) and its efficient version called Class Adversarial Noise Layer (CANL), which are able to significantly improve CNN's generalization ability by…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Zhonghui You , Jinmian Ye , Kunming Li , Zenglin Xu , Ping Wang

The autocovariance least squares (ALS) method is a computationally efficient approach for estimating noise covariances in Kalman filters without requiring specific noise models. However, conventional ALS and its variants rely on the classic…

Optimization and Control · Mathematics 2026-03-10 Jiahong Li , Fang Deng

While the filtered-x normalized least mean square (FxNLMS) algorithm is widely applied due to its simple structure and easy implementation for active noise control system, it faces two critical limitations: the fixed step-size causes a…

Information Theory · Computer Science 2026-01-26 Zhiyuan Li , Yi Yu , Hongsen He , Yuyu Zhu , Rodrigo C. de Lamare

The Adaptive Smoothing Method (ASM) is a data-driven approach for traffic state estimation. It interpolates unobserved traffic quantities by smoothing measurements along spatio-temporal directions defined by characteristic traffic wave…

Optimization and Control · Mathematics 2022-12-14 Chuhan Yang , Bilal Thonnam Thodi , Saif Eddin Jabari

The newly proposed $l_1$ norm constraint zero-point attraction Least Mean Square algorithm (ZA-LMS) demonstrates excellent performance on exact sparse system identification. However, ZA-LMS has less advantage against standard LMS when the…

Information Theory · Computer Science 2013-03-12 Jian Jin , Qing Qu , Yuantao Gu

The LMS algorithm is one of the most widely used techniques in adaptive filtering. Accurate modeling of the algorithm in various circumstances is paramount to achieving an efficient adaptive Wiener filter design process. In the recent…

Signal Processing · Electrical Eng. & Systems 2020-10-22 Enrique T. R. Pinto , Leonardo S. Resende

In this paper we propose a modified version of the simulated annealing algorithm for solving a stochastic global optimization problem. More precisely, we address the problem of finding a global minimizer of a function with noisy…

Machine Learning · Statistics 2017-03-02 Clément Bouttier , Ioana Gavra

The paper explores the use of dynamic adaptation gain/step size (DAG) for improving the adaptation transient performance of variable step-size LMS (VS-LMS) adaptation algorithms. A generic form for the implementation of the DAG within the…

Optimization and Control · Mathematics 2024-04-22 Ioan Doré Landau , Dariusz Bismor , Tudor-Bogdan Airimitoaie , Bernard Vau , Gabriel Buche

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

In recent years, the hardware implementation of neural networks, leveraging physical coupling and analog neurons has substantially increased in relevance. Such nonlinear and complex physical networks provide significant advantages in speed…

Machine Learning · Computer Science 2024-12-05 Nadezhda Semenova , Daniel Brunner

Broadband frequency-selective fading channels usually have the inherent sparse nature. By exploiting the sparsity, adaptive sparse channel estimation (ASCE) algorithms, e.g., least mean square with reweighted L1-norm constraint (LMS-RL1)…

Information Theory · Computer Science 2015-04-29 Guan Gui , Li Xu

In this paper, we propose an adaptive framework for the variable power of the fractional least mean square (FLMS) algorithm. The proposed algorithm named as robust variable power FLMS (RVP-FLMS) dynamically adapts the fractional power of…

Optimization and Control · Mathematics 2017-02-07 Jawwad Ahmad , Muhammad Usman , Shujaat Khan , Imran Naseem , Hassan Jamil Syed